1178.64 is what percent of 1183.31 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1183.31 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1183.31, so we can write it down as 100%=1183.31.
4. We know, that x% equals 1178.64 of the output value, so we can write it down as x%=1178.64.
5. Now we have two simple equations:
1) 100%=1183.31
2) x%=1178.64
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1183.31/1178.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1178.64 is what percent of 1183.31

100%/x%=1183.31/1178.64
(100/x)*x=(1183.31/1178.64)*x       - we multiply both sides of the equation by x
100=1.0039621937148*x       - we divide both sides of the equation by (1.0039621937148) to get x
100/1.0039621937148=x
99.605344330733=x
x=99.605344330733

now we have:
1178.64 is 99.605344330733% of 1183.31